A jeweller's number-line scale runs 0 to 1 in twelfths.
How many of the twelfth-marks $(\frac{n}{12}$ , with $n$ from 1 to 11) cannot be simplified to a fraction with a smaller denominator?

Question

A jeweller's number-line scale runs 0 to 1 in twelfths. How many of the twelfth-marks (n/12, with n from 1 to 11) cannot be simplified to a fraction with a smaller denominator?

Accepted Answer

4. n/12 stays in lowest terms only when n shares no factor with 12. Those n are 1, 5, 7, 11 — exactly 4 marks.

A jeweller's number-line scale runs 0 to 1 in twelfths.
How many of the twelfth-marks $(\frac{n}{12}$ , with $n$ from 1 to 11) cannot be simplified to a fraction with a smaller denominator?

Step-by-Step Solution

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More Class 6 Fractions on the Number Line practice

A jeweller's number-line scale runs 0 to 1 in twelfths.How many of the twelfth-marks (12n​, with n from 1 to 11) cannot be simplified to a fraction with a smaller denominator?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Fractions on the Number Line practice

A jeweller's number-line scale runs 0 to 1 in twelfths.
How many of the twelfth-marks $(\frac{n}{12}$ , with $n$ from 1 to 11) cannot be simplified to a fraction with a smaller denominator?